For a company that manufactures tennis​ rackets, the average cost per racket is found to be C=390/x+2+1/3x for x≥1​, where x is the number of rackets produced per hour.   Use the differential to approximate the change in average cost per racket if production is​ (A) increased from 25 per hour to 32 per hour and​ (B) increased from 30 per hour to 37 per hour.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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For a company that manufactures tennis​ rackets, the average cost per racket is found to be
C=390/x+2+1/3x
for
x≥1​,
where x is the number of rackets produced per hour.
 
Use the differential to approximate the change in average cost per racket if production is​ (A) increased from
25
per hour to
32
per hour and​ (B) increased from
30
per hour to
37
per hour.
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